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LCM of 884, 634, 507, 927

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 884, 634, 507, 927 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 884, 634, 507, 927. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 884,634,507,927

Given numbers are 884,634,507,927

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 884,634,507,927 is 3377027628.

Find LCM of 884,634,507,927 with Prime Factorization


2 884, 634, 507, 927
3 442, 317, 507, 927
13 442, 317, 169, 309
34, 317, 13, 309

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 13 x 34 x 317 x 13 x 309 = 3377027628

Therefore, the lowest common multiple of 884,634,507,927 is 3377027628.

LCM Formula to Find Lowest Common Multiple of 884,634,507,927

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

884 x 634 x 507 x 927 = 263408154984

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

634 : 1, 2, 317, 634

507 : 1, 3, 13, 39, 169, 507

927 : 1, 3, 9, 103, 309, 927

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,634,507,927, is 1.

Now, the common factors can be found like this.

884:2x 2x 13x 17

634:2x 317

507:3x 13x 13

927:3x 3x 103

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 13 = 78

Therefore, the value for common factors is 78.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 263408154984/(1x78)

LCM = 263408154984/78

LCM = 3377027628

Thus, we can understand that the LCM of 884,634,507,927 is 3377027628.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 884, 634, 507, 927

1. What is the LCM of 884, 634, 507, 927?

Answer: LCM of 884, 634, 507, 927 is 3377027628.

2. How to calculate the LCM of 884, 634, 507, 927?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 884, 634, 507, 927.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.